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If we can compute the signs,zeroes and singularities of f, f' and f'', we can usually make a reasonable sketch of f(x).
We can,of course, plot it if we have the time.
A plotter, if available, provides the quickest way to see what a function looks like.
7.1 General Method for Curve Plotting without a Calculator
7.2 Examples
7.3 Plotter